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steposvetlana [31]
3 years ago
10

1 point

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

  C.  350 miles

Step-by-step explanation:

Daphne wants to drive 3/4 of the distance in the first 2 days. So, her mileage per day should be about (3/4)/2 = 3/8 of the total mileage:

  (3/8)(932.4 mi) = 349.65 mi ≈ 350 mi

She should drive about 350 miles on each of the first 2 days.

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A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the
Arlecino [84]

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, d = 100(t+ 1.5) .

To catch the mouse snake had to travel the same distance d in  t hours.

So,

200t = 100(  t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours

Therefore, snake will catch mouse in 1.5 hours.

5 0
3 years ago
If 3x − (7 − x) = 29, find the value of 6x.
Stells [14]

Answer:

54

Step-by-step explanation:

3x -(7-x) = 29       remove the parens

3x - 7 + x = 29     simplify

4x -7 = 29            add 7 to both sides of the equation

4x = 36            divide by

x = 9

then 6x = 6 * 9 = 54

7 0
2 years ago
1. Select all values of x that are solutions to the equation: -2(x + 4)(3x - 18) = 0A) -6B) -4C) -2D) OE) 2F) 4G) 6
navik [9.2K]
\begin{gathered} -2(x+4)(3x-18)=0 \\ \text{There are two factors here which are} \\ -2(x+4)\text{ and} \\ (3x-18) \\ \text{This means, either} \\ 2(x+4)=0 \\ 2x+8=0 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \\ OR \\ 3x-18=0 \\ 3x=18 \\ \text{Divide both sides by 3} \\ x=6 \\ \text{Therefore,} \\ x=-4\text{ or} \\ x=6 \end{gathered}

x = -4 OR x = 6

The correct options are B and G

6 0
1 year ago
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Snowcat [4.5K]

Answer:

I assume that the function is:

f(x) = \frac{1}{4}*8^x

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

f(x) = \frac{1}{4}*8^x

then:

g(x) = -f(-x) =  -\frac{1}{4}*8^{-x}

Now we can graph this, to get the graph you can see below:

6 0
3 years ago
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila
Ierofanga [76]

Answer: \triangle XYZ \sim \triangle GFH by AA.

Step-by-step explanation:

Finding the third angle in triangle XYZ,

m\angle YXZ=180^{\circ}-77^{\circ}-48^{\circ}=55^{\circ},

Thus, \triangle XYZ \sim \triangle GFH by AA.

3 0
2 years ago
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